Homotopy theory of presheaves of simplicial groupoids

Zhi-Ming Luo

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Homotopy theory of presheaves of simplicial groupoids

Zhi-Ming Luo

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Abstract

We show that the category of presheaves of simplicial groupoids on a site $\mathcal{C}$ is a right proper simplicial model category. We define $G$-torsor of presheaf of 2-groupoids $G$, presheaf of simplicial groups $G$ and presheaf of simplicial groupoids $G$ on a site $\mathcal{C}$ and classify $G$-torsors by the homotopy classes $[\ast, \bar{W}G]$.

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BibTeX RIS

Zhi-Ming Luo. 2004-01-21. Homotopy theory of presheaves of simplicial groupoids. https://arxiv.org/abs/math/0401283

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